The K2 GSXR1k shock is slightly shorter than both the SV stock and the K3 GSXR1k shock. It also has a softer spring rate than the K3 GSXR1k.
This page is pretty good
http://www.kuhnco.com/SV650/GSXRShockSwap/ I think it was done by the guy who posts here as TheLeprechaun.